Anick's spaces and the double loops of odd primary Moore spaces

Author:
Stephen D. Theriault

Journal:
Trans. Amer. Math. Soc. **353** (2001), 1551-1566

MSC (2000):
Primary 55P35; Secondary 55Q25

DOI:
https://doi.org/10.1090/S0002-9947-00-02622-2

Published electronically:
October 11, 2000

MathSciNet review:
1709779

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Abstract | References | Similar Articles | Additional Information

Several properties of Anick's spaces are established which give a retraction of Anick's off if and . The proof is alternate to and more immediate than the two proofs of Neisendorfer's.

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Additional Information

**Stephen D. Theriault**

Affiliation:
Department of Mathematics, University of Illinois at Chicago, Chicago, Illinois 60607

Address at time of publication:
Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904

Email:
st7b@virginia.edu

DOI:
https://doi.org/10.1090/S0002-9947-00-02622-2

Keywords:
Loop space decomposition,
Hopf invariant

Received by editor(s):
December 1, 1998

Published electronically:
October 11, 2000

Additional Notes:
The author was supported in part by an NSERC Postdoctoral Fellowship

Article copyright:
© Copyright 2000
American Mathematical Society